Atkin-Lehner |
3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925g |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-1614357421875 = -1 · 33 · 59 · 113 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 11- 1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13875,632031] |
[a1,a2,a3,a4,a6] |
Generators |
[450:1371:8] |
Generators of the group modulo torsion |
j |
-5601816576/30613 |
j-invariant |
L |
13.337211004269 |
L(r)(E,1)/r! |
Ω |
0.84833261831369 |
Real period |
R |
1.3101397097619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56925f1 56925h1 |
Quadratic twists by: -3 5 |